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Finding the Fourth Proportional to 9,072.72, 12,509.64 and 7,742.16

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Solution

The fourth proportional to 9,072.72, 12,509.64 and 7,742.16 is: 10,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.72 : 12,509.64 = 7,742.16 : x
  2. Step 2: Convert to fraction form
    9,072.72/12,509.64 = 7,742.16/x
  3. Step 3: Cross multiply
    9,072.72x = 12,509.64 × 7,742.16
  4. Step 4: Simplify right side
    9,072.72x = 96,851,634.42
  5. Step 5: Solve for x
    x = 96,851,634.42/9,072.72
  6. Step 6: Final answer
    x = 10,675.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.